Question #285633

A stamp collector uses a converging lens with focal length 28 cm to view a stamp 16 cm in front of the lens. (a)Where is the image located? (b) What is the magnification?

1
Expert's answer
2022-01-10T14:14:56-0500

Solution

Focal length f=28cm.

Distance of object d0=16cm.

a) using lens formula

1f=1d0+1di\frac{1}{f}=\frac{1}{d_0}+\frac{1}{d_i}

Putting all values

Image location

di=d0fd0fd_i=\frac{d_0f}{d_0-f}

Putting all values

di=16×281628=37.3cmd_i=\frac{16\times28}{16-28}=-37.3cm

b) magnification power

=did0=37.316=2.33=-\frac{d_i}{d_0}\\=-\frac{-37.3}{16}\\=2.33




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